Finite Group DatabasebetaFinite Group Databasebeta| order | 24684 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C4×C11 · Schur multiplier (H2) = C1 |
| direct product | C3×C11×Dic187 |
| unambiguous semidirect product | C11⋊(C3×C11×Dic17) |
| derived | C11×C17 ⋊ C3×C4×C11 |
| Hall | C3×C112×C17 ⋊ C4 |
| Hall | C112×C17 ⋊ C3×C4 |
| Hall | C3×C112 ⋊ Dic17 |
| Sylow | C112 ⋊ C3×Dic17 |
| Hall | C3×C17 ⋊ C11×Dic11 |
| Sylow | C17 ⋊ C3×C11×Dic11 |
88 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2244 |
6270 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(24684, 44);